World Scientific Lecture Notes in Physics - Vol. 70
NOISE SUSTAINED PATTERNS
Fluctuations and Nonlinearities
by Markus Loecher (Siemens Corporate Research, USA)
This book investigates the impact of noise upon the emergence and sustenance of patterns. "Patterns" loosely refers to coherent spatial structures, including fronts, as well as temporal patterns. The crucial role of nonlinearities is highlighted and expanded upon in the context of dynamical system frameworks. The author's familiarity with chaos theory, statistical physics and nonlinear science is reflected in the highly interdisciplinary character of the text. Model equations and experiments taken from fluid dynamics, semiconductor devices, biophysics and statistical mechanics complement theoretical concepts.
It should be of great value to researchers and graduate students who desire a quick introduction to the subject. Excursions into emerging fields such as traffic flow simulations and game theory serve to broaden the scope and to encourage the exploration of sundry topics.
Contents:
- Introduction
- Essentials
- Noise Induced Temporal Phenomena
- Adding
Spatial Dimensions
- Stochastic Transport Phenomena
- Sundry Topics
- Afterthoughts
Readership: Graduate students and researchers in nonlinear science, chaos and
statistical physics.
"Markus Loecher has written a vivid and timely review of a rapidly emerging area with implications for many fields. Noise Sustained Patterns describes, in a clear and tutorial way, how random processes can actually lead to the emergence of order in nonlinear systems."
Dr Frank Moss
Curators' Professor
Center for Neurodynamics
University of Missouri St Louis |
“This book provides an excellent overview of noise-induced-spatio-temporal phenomena in a variety of contexts, ranging from fluid dynamics, semiconductor devices and statistical mechanics to biophysics, traffic flows and game theory ... With almost 300 references it provides a good summary of the current literature on the impact of noise upon the emergence ad sustenance of patterns. It should provide a unique tool for researchers wanting to have a quick overview of this field.”
| 252pp |
Pub. date: Dec 2003 |
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